Volume & Surface Area Calculator

Calculate volume and surface area of 3D geometric shapes including cube, cylinder, cone, and sphere. Essential for geometry, physics, and engineering calculations.

Cube Calculator

Calculate volume, surface area, space diagonal, and face diagonal of a cube using side length.

Cube Results
0
Volume
0
Surface Area
0
Space Diagonal
0
Face Diagonal
Cube Properties
Side Length N/A
Number of Faces 6
Number of Edges 12
Number of Vertices 8
Volume Formula a³
Surface Area Formula 6a²

Cylinder Calculator

Calculate volume and surface area of a cylinder using radius and height.

Cylinder Results
0
Volume
0
Surface Area
0
Lateral Area
0
Base Area
Cylinder Properties
Radius N/A
Height N/A
Diameter N/A
Volume Formula pr²h
Surface Area Formula 2pr(r+h)
p Value Used 3.14159

Cone Calculator

Calculate volume and surface area of a cone using radius, height, and slant height.

Cone Results
0
Volume
0
Surface Area
0
Lateral Area
0
Base Area
Cone Properties
Radius N/A
Height N/A
Slant Height N/A
Volume Formula (1/3)pr²h
Surface Area Formula pr(r + v(r²+h²))
p Value Used 3.14159

Sphere Calculator

Calculate volume and surface area of a sphere using radius, diameter, or circumference.

Sphere Results
0
Volume
0
Surface Area
0
Circumference
0
Diameter
Sphere Properties
Radius N/A
Volume Formula (4/3)pr³
Surface Area Formula 4pr²
Circumference Formula 2pr
p Value Used 3.14159

Rectangular Prism Calculator

Calculate volume and surface area of a rectangular prism (cuboid) using length, width, and height.

Rectangular Prism Results
0
Volume
0
Surface Area
0
Space Diagonal
0
Lateral Area
Prism Properties
Length N/A
Width N/A
Height N/A
Volume Formula l × w × h
Surface Area Formula 2(lw + lh + wh)
Face Areas N/A

Pyramid Calculator

Calculate volume and surface area of a square pyramid using base side and height.

Pyramid Results
0
Volume
0
Surface Area
0
Base Area
0
Lateral Area
Pyramid Properties
Base Side N/A
Height N/A
Slant Height N/A
Volume Formula (1/3) × base area × height
Surface Area Formula base area + (1/2) × perimeter × slant height
Type Square Pyramid

3D Shapes Comparison

Quick reference for volume and surface area formulas of common 3D shapes.

Shape Volume Formula Surface Area Formula Variables
Cube V = a³ A = 6a² a = side length
Rectangular Prism V = l × w × h A = 2(lw + lh + wh) l = length, w = width, h = height
Sphere V = (4/3)pr³ A = 4pr² r = radius
Cylinder V = pr²h A = 2pr(r + h) r = radius, h = height
Cone V = (1/3)pr²h A = pr(r + v(r² + h²)) r = radius, h = height
Pyramid V = (1/3)Bh A = B + (1/2)Pl B = base area, h = height, P = base perimeter, l = slant height